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Finding the Fourth Proportional to 5,872.61, 8,104.16 and 3,219.93

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Solution

The fourth proportional to 5,872.61, 8,104.16 and 3,219.93 is: 4,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.61 : 8,104.16 = 3,219.93 : x
  2. Step 2: Convert to fraction form
    5,872.61/8,104.16 = 3,219.93/x
  3. Step 3: Cross multiply
    5,872.61x = 8,104.16 × 3,219.93
  4. Step 4: Simplify right side
    5,872.61x = 26,094,811.81
  5. Step 5: Solve for x
    x = 26,094,811.81/5,872.61
  6. Step 6: Final answer
    x = 4,443.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.